What is the Greatest Common Factor of 82700 and 82720?

Greatest common factor (GCF) of 82700 and 82720 is 20.

GCF(82700,82720) = 20

We will now calculate the prime factors of 82700 and 82720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82700 and 82720.

How to find the GCF of 82700 and 82720?

We will first find the prime factorization of 82700 and 82720. After we will calculate the factors of 82700 and 82720 and find the biggest common factor number .

Step-1: Prime Factorization of 82700

Prime factors of 82700 are 2, 5, 827. Prime factorization of 82700 in exponential form is:

82700 = 2² × 5² × 827¹

Step-2: Prime Factorization of 82720

Prime factors of 82720 are 2, 5, 11, 47. Prime factorization of 82720 in exponential form is:

82720 = 2⁵ × 5¹ × 11¹ × 47¹

Step-3: Factors of 82700

List of positive integer factors of 82700 that divides 82700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 827, 1654, 3308, 4135, 8270, 16540, 20675, 41350

Step-4: Factors of 82720

List of positive integer factors of 82720 that divides 82700 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 47, 55, 80, 88, 94, 110, 160, 176, 188, 220, 235, 352, 376, 440, 470, 517, 752, 880, 940, 1034, 1504, 1760, 1880, 2068, 2585, 3760, 4136, 5170, 7520, 8272, 10340, 16544, 20680, 41360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82700 and 82720. The biggest common factor number is the GCF number.
So the greatest common factor 82700 and 82720 is 20.

Also check out the Least Common Multiple of 82700 and 82720